Lower estimate for the integral means spectrum for $p=-1$
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- by Ilgiz Kayumov PDF
- Proc. Amer. Math. Soc. 130 (2002), 1005-1007 Request permission
Abstract:
In this paper we show that there exists a function $f$ bounded and univalent in the unit disk, such that $\int |f’(re^{i\theta })|^{-1}d\theta \ge C(1-r)^{-0.127}$, $0 \leq r <1.$References
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Additional Information
- Ilgiz Kayumov
- Affiliation: Chebotarev Research Institute, Kazan State University, Universiteskaya 17, 420008 Kazan, Russian Federation
- Email: ikayumov@ksu.ru
- Received by editor(s): September 13, 2000
- Published electronically: November 28, 2001
- Additional Notes: This work was supported by Russian Fund of Basic Research (proj 99-01-00366, 99-01-00173)
- Communicated by: Juha M. Heinonen
- © Copyright 2001 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 130 (2002), 1005-1007
- MSC (2000): Primary 30C55, 30C50
- DOI: https://doi.org/10.1090/S0002-9939-01-06401-2
- MathSciNet review: 1873773